In each case below, find the value of the constant c so that the corresponding function defines a probability function with the given range of values, RX:

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C (i) f(x) = x(x+1) (ii) f(x)=c 2*, (iii) f(x)= c.2, Rx = {1,2,3,...}; Rx = {0, 1, 2,... }; Rx = {0,1, 2,...}. Hint: for Part (i), observe that f(x) can be expressed as f(x) = c x x+1